Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition.

Autor: Nefedov, N. N., Nikitin, A. G., Nikulin, E. I.
Zdroj: Russian Journal of Mathematical Physics; Sep2023, Vol. 30 Issue 3, p375-381, 7p
Abstrakt: We consider a boundary-value problem for singularly perturbed integro-differential equation describing stationary reaction–diffusion processes with due account of nonlocal interactions. The principal feature of the problem is the presence of a singularly perturbed Neumann condition describing intense flows on the boundary. We prove that there exists a boundary-layer solution, construct its asymptotic approximation, and establish its asymptotic Lyapunov stability. Illustrative examples are given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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